In the present investigation, we determine the upper bounds of the Hankel determinant H 3 ( 1 ) for a subclass of analytic functions related with lemniscate of Bernoulli by using Toeplitz determinants.
The airway size and compliance and pharyngeal muscle tone are important determinants of upper airway patency during sleep.
In addition, we extend the research on upper echelons and the determinants of CSR.
This modified DASH, which has improved face validity over the DASH for our purposes, has previously been used in a large population survey examining the outcome and prognostic determinants for upper limb pain presenting in primary care and to physiotherapy services [ 5].
A sharper upper bound on the determinant of the related matrix is derived.
Upper bounds for the determinant of the information matrix of a 2k fractional factorial design of resolution V are improved.
There are many upper bounds for the determinant of the accretive-dissipative matrices which are due to (1.6), (1.8) and (1.9).
Some certain classes of paths are defined and it is shown that their various combinations determine the upper bound of the value of the determinant of the adjacency matrix.
Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general -matrices by using different methods.
Inspired by these works, we will exhibit some new upper and lower bounds for determinants with principal diagonal dominant and general -matrices by using different methods, which improve on the above inequalities (1.4)–(1.4).
